85.7 is what percent of 675.6 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 675.6 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 675.6, so we can write it down as 100%=675.6.
4. We know, that x% equals 85.7 of the output value, so we can write it down as x%=85.7.
5. Now we have two simple equations:
1) 100%=675.6
2) x%=85.7
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=675.6/85.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.7 is what percent of 675.6

100%/x%=675.6/85.7
(100/x)*x=(675.6/85.7)*x       - we multiply both sides of the equation by x
100=7.8833138856476*x       - we divide both sides of the equation by (7.8833138856476) to get x
100/7.8833138856476=x
12.685020722321=x
x=12.685020722321

now we have:
85.7 is 12.685020722321% of 675.6